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73814688784 = 2429713736007
BaseRepresentation
bin100010010111110110…
…0101100010000010000
321001112021100201010101
41010233230230100100
52202133030020114
653524320542144
75222124334204
oct1045754542020
9231467321111
1073814688784
1129339516231
1212380481954
136c64855855
1438034ccb04
151dc047dd74
hex112fb2c410

73814688784 has 80 divisors (see below), whose sum is σ = 150458584320. Its totient is φ = 35032757760.

The previous prime is 73814688763. The next prime is 73814688821. The reversal of 73814688784 is 48788641837.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12285109 + ... + 12291115.

It is an arithmetic number, because the mean of its divisors is an integer number (1880732304).

Almost surely, 273814688784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73814688784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75229292160).

73814688784 is an abundant number, since it is smaller than the sum of its proper divisors (76643895536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

73814688784 is a wasteful number, since it uses less digits than its factorization.

73814688784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6488 (or 6482 counting only the distinct ones).

The product of its digits is 57802752, while the sum is 64.

The spelling of 73814688784 in words is "seventy-three billion, eight hundred fourteen million, six hundred eighty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 16 29 58 71 116 142 232 284 373 464 568 746 1136 1492 2059 2984 4118 5968 6007 8236 10817 12014 16472 21634 24028 26483 32944 43268 48056 52966 86536 96112 105932 173072 174203 211864 348406 423728 426497 696812 768007 852994 1393624 1536014 1705988 2240611 2787248 3072028 3411976 4481222 6144056 6823952 8962444 12288112 12368413 17924888 24736826 35849776 49473652 64977719 98947304 129955438 159083381 197894608 259910876 318166762 519821752 636333524 1039643504 1272667048 2545334096 4613418049 9226836098 18453672196 36907344392 73814688784